Conjugate functions for Laguerre expansions
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- by Benjamin Muckenhoupt
- Trans. Amer. Math. Soc. 147 (1970), 403-418
- DOI: https://doi.org/10.1090/S0002-9947-1970-0252945-9
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References
- A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130
- Benjamin Muckenhoupt, Hermite conjugate expansions, Trans. Amer. Math. Soc. 139 (1969), 243–260. MR 249918, DOI 10.1090/S0002-9947-1969-0249918-0
- Benjamin Muckenhoupt, Poisson integrals for Hermite and Laguerre expansions, Trans. Amer. Math. Soc. 139 (1969), 231–242. MR 249917, DOI 10.1090/S0002-9947-1969-0249917-9
- B. Muckenhoupt and E. M. Stein, Classical expansions and their relation to conjugate harmonic functions, Trans. Amer. Math. Soc. 118 (1965), 17–92. MR 199636, DOI 10.1090/S0002-9947-1965-0199636-9
- E. M. Stein, On limits of seqences of operators, Ann. of Math. (2) 74 (1961), 140–170. MR 125392, DOI 10.2307/1970308
- Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1959. Revised ed. MR 0106295 G. N. Watson, Theory of Bessel functions, Cambridge Univ. Press, Cambridge, 1966.
- A. Zygmund, Trigonometric series: Vols. I, II, Cambridge University Press, London-New York, 1968. Second edition, reprinted with corrections and some additions. MR 0236587
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 147 (1970), 403-418
- MSC: Primary 42.16
- DOI: https://doi.org/10.1090/S0002-9947-1970-0252945-9
- MathSciNet review: 0252945